Start the Dead Center Campaign, play through all 5 parts of the mission. Which are the 4 safe rooms and the finale exit. The more people you do this with the easier it is to get but, its very possible to get by yourself.
Also, you must survive the finale as the achievement states. Even if your team goes on and completes the campaign without you, you will not garner the achievement. You will be required to start from the very beginning again.
Thanks to EvilMonkeyByte